Arturo is customizing his next pair of basketball shoes. The following table shows the design components and how many options he has for each. Design component Number of options Primary color 888 Secondary color 888 Sole color 888 Lace color 555 How many different shoe combinations can Arturo create?

Answer:

P(white region) = 0.75 or 75%

Step-by-step explanation:

Find the area of the shaded region:

A = πr²

A = π(2)²

A = 12.56

Find the area of the entire dartboard:

A = πr²

A = π(4)²

A = 50.24

Find the probability that the dart hits the blue region:

P(blue region) = Area of blue region/ Total Area

P(blue region) = 12.56 / 50.24

P(blue region) = 0.25

As total probability is equal to 1, find the probability of throwing a dart that hits the white part of the board by substracting 0.25 from 1

P(white region) = 1 - P(blue region)

P(white region) = 1 - 0.25

P(white region) = 0.75

Answer:

Step-by-step explanation:

1) Let the random time variable, X = 45min; mean, ∪ = 30min; standard deviation, α = 15min

By comparing P(0 ≤ Z ≤ 30)

P(Z ≤ X - ∪/α) = P(Z ≤ 45 - 30/15) = P( Z ≤ 1)

Using Table

P(0 ≤ Z ≤ 1) = 0.3413

P(Z > 1) = (0.5 - 0.3413) = 0.1537

∴ P(Z > 45) = 0.1537

2)  By compering (0 ≤ Z ≤ 15) ( that is 4:15pm)

P(Z ≤ 15 - 30/15) = P(Z ≤ -1)

Using Table

P(-1 ≤ Z ≤ 0) = 0.3413

P(Z < 1) = (0.5 - 0.3413) = 0.1587

∴ P(Z < 15) = 0.1587

3) By comparing P(0 ≤ Z ≤ 60) (that is for 5:00pm)

P(Z ≤ 60 - 30/15) = P(Z ≤ 2)

Using Table

P(0 ≤ Z ≤ 1) = 0.4772

P(Z > 1) = (0.5 - 0.4772) = 0.0228

∴ P(Z > 60) = 0.0228

Answer:

1. 5

2. 6

3. 8

4. 200

Step-by-step explanation:

I said the answer already

first 5

next 6

then 8

lastly 200 my accounts (try both of them) king1ev15 and/or king1ev151

Answer:

Also, there seem to be many typos in this question, I am trying my best to decipher them all :) next time maybe double check the wording thx!

Step-by-step explanation:

the question doesn't make sense because if you were to pay $1120 per month, for 2 years, you would go over the amount that you bought. I also am not sure what a dews payment is. Try wording it differently/check you spelling.

Answer:

The given system of equations has "No solution” means that the constants are the numbers without variables. If the coefficients are the equal on both sides then their constants will not equal,they did not satisfy the given equations and therefore it said to have no solution

The given system of equations has "infinitely many solutions" if the given linear system of equations has both the equations represents to the same line.

Step-by-step explanation:

No solution would mean that there is no answer to the equation. It is impossible for the equation to be true no matter what value we assign to the variable. Infinite solutions would mean that any value for the variable would make the equation true.

Answer:

Hey there!

We have |3x + 9| + 6 = 6. Subtracting 6 from both sides gives us |3x + 9| = 0.

3x+9=0

3x=-9

x=-3

Hope this helps :)

Answer:

-3

Step-by-step explanation:

Subtracting 6 from both sides yields |3x + 9| = 0.  For this to be true, 3x + 9 must be 0, and so x must be -3.

Answer:

dollars

Step-by-step explanation:

Answer:

$5 per ticket

Step-by-step explanation:

If you put it into a ratio of movie tickets to cost it will be 7 : 35

When you simplify it the ration will be 1 : 5

Answer:

$5 per ticket . # Unit rate.

Step-by-step explanation:

7 tickets costs =$35

therefore, 1 ticket cost = $35÷ 7

= $5

Answer:

Hey there!

-6 ft is 6 ft below sea level.

Hope this helps :)

Answer:

10

Step-by-step explanation:

We can do the ratio of 8:2:10. If we add it all up, we get 20. We do 100/20 and get 5, so each number equals 5. Then we do 2*5.

Sorry if this is wrong.

Answer:

$11095.45

Step-by-step explanation:

This is a problem in continuous compounding, for which the formula is

P = Ae^rt, r being the annual interest rate as a decimal fraction and t being the time in years.  Here we have:  

P = $9900e^(0.019)(6) = $11095.45

Answer:

11095

Step-by-step explanation:

Rounding to the nearest dollar

Answer:  see image

Step-by-step explanation:

Count how many spaces the vertex is away from the line x = -1.  Then place that vertex the same distance on the other side of the line x = -1.

Answer:

B (from down below) They are similar but your q does not match up with the picture

Step-by-step explanation:

to determine if two triangles are similar you have to make sure the ratios are the same. So 10 / 8 = 1.25, so all sides should have this ratio. 15 / 12 is also 1.25 so you know to sides are similar and also the triangles ARE SIMILAR. So The statement would be KMN is similar to KLP.

Answer:

Mr. Weaver invested $ 2,000 in the 4% simple interest account and $ 4,000 in the 7% simple interest account.

Step-by-step explanation:

1. Let's review the information given to us to answer the question correctly:

Amount of the inheritance = $ 6,000

Interest rate of the first part = 4% simple

Interest rate of the second part = 7% simple

Interest of the accounts after the first year = $ 360

2. How much did he invest in each account?

For answering the question, we will use the following equation:

x = Amount invested in the first account

6,000 - x = Amount invested in the second account

0.04x + 0.07 * (6,000 - x) = 360

0.04x + 420 - 0.07x = 360

-0.03x = 360 - 420 (Subtracting 420 at both sides)

-0.03x = -60

x = -60/-0.03

x = 2,000 ⇒ 6,000 - x = 4,000

Mr. Weaver invested $ 2,000 in the 4% simple interest account and $ 4,000 in the 7% simple interest account.

Answer:

Rotation

Step-by-step explanation:

when you rotate a point it swaps the numarical values x⇄y as well as in some cases it changes its the symbol from negative to positive depending on the quadrant, in this case, it started in quadrant one and ended in quadrant three.

Answer:

<-0.3, -7>

Step-by-step explanation:

Re:  a vector from (-3.7,2) to (-4, -5).

This has two components:  a horizontal one and a vertical one.

The horizontal component is -4 - (-3.7) = -0.3.

The vertical component is -5 - 2 = -7

Thus, the desired vector is <-0.3, -7>

Answer:

B on edge

Step-by-step explanation:

got it right (2021)

Answer:

$6250

Step-by-step explanation:

6250x.075x8=3750

6250+3750=10,000

Answer:

x = 29

Step-by-step explanation:

If the lines are parallel

< CBA = < DAB due to the fact that they are alternate interior angles

42 = DAB

We also know that

DAB + BAC + CAE = 180 since they form a straight line

Substituting the given values

42+ 109 + x = 180

Combine like terms

151 + x = 180

151+x-151 = 180-151

x = 29

Answer:

Hey there!

We have the absolute value of x is greater than two.

Thus, to solve absolute value inequalities, we want to break the inequality down.

We break this down to

x>2

x<-2

Thus, we don't need to simplify this any further, and have our answer.

Hope this helps :)

Answer:

x >= 2 or x <= -2

Step-by-step explanation:

|x|>= 2

Means the absolute value of x is greater than or equal to two.

When we deal with absolute value, we can equivalently break into two cases

+x >= 2    => x >= 2

-x >= 2    =>  x <= -2

On the number line it looks like what is shown in the attached figure.    

Answer:

120

Step-by-step explanation:

expand and calculate

10x9x8x7!/(10-3)!x3!

10x9x8x7!/7!x3!

reduce

10x9x8x7!/7!x3!

10x9x8/3!

Calculate the product

10x9x8/3!

Now Cacluate the factorial

720/3!

720/6

reduce

120

Answer: 120

Step-by-step explanation:

Answer:

The slope is 1

Step-by-step explanation:

there's actually a trick you can do to find the slope. if you go from where the y-intercept is and go over to the x- intercept it will give you the slope hope this helps you

Answer:

[tex]\boxed{1}[/tex]

Step-by-step explanation:

[tex]\left[\begin{array}{ccc}1 \times 1&2 \times 1\\3 \times 5&4 \times 5 \end{array}\right][/tex]

Answer:

The answers are as follows.

Step-by-step explanation:

Expressions:

Computation:

Product of 2 and x is 14

2(x) = 14

x = 7

6 added with a number gives 14

6+x = 14

x = 8

The product of six and a gives 12

6(a) = 12

a = 2

12 divided by y gives 2

12 / y = 2

y = 6

6 subtract from a number and get 12

x - 6 = 14

x = 20

Answer:

$2216.72

Step-by-step explanation:

Simply plug in your known variables into the formula:

a = 1000

r = 0.04 (4%)

n = 4

t = 20

A = 1000(1 + 0.04/4)⁴⁽²⁰⁾

A = 1000(1 + 0.01)⁸⁰

A = 1000(1.01)⁸⁰

A = 1000(2.21672)

A = 2216.72

Answer:

a constant multiplied by y can affect the linear, because it determines a dependent variables.

Step-by-step explanation:

a linear relationship is a statistical term used to described a straight line relationship between two variables.

The probability of not drawing a red marble is   7/10

The probability of drawing a red marble is  3/10

=======================================================

Explanation:

We have 3 red marbles out of 5+2+3 = 10 total. Therefore, the probability of selecting a red marble is 3/10.

The probability of not selecting a red marble is 7/10 because 3/10+7/10 = 1. Put another way, we have 7 marbles that aren't red (the 5 blue and 2 black ones) out of 10 total.

Answer:

[tex]P(At\ least\ 1) = 0.985[/tex]

Step-by-step explanation:

Given

Proportion = 55%

Required

Probability that at least one out of 7 selected finds a job

Let the proportion of students that finds job be represented with p

[tex]p = 55\%[/tex]

Convert to decimal

[tex]p = 0.55[/tex]

Let the proportion of students that do not find job be represented with q

Such that;

[tex]p + q = 1[/tex]

Make q the subject of formula

[tex]q = 1 - p[/tex]

[tex]q = 1 - 0.55[/tex]

[tex]q = 0.45[/tex]

In probability; opposite probabilities add up to 1;

In this case;

Probability of none getting a job + Probability of at least 1 getting a job = 1

Represent Probability of none getting a job with P(none)

Represent Probability of at least 1 getting a job with P(At least 1)

So;

[tex]P(none) + P(At\ least\ 1) = 1[/tex]

Solving for the probability of none getting a job using binomial expansion

[tex](p + q)^n = ^nC_0p^nq^0 + ^nC_1p^{n-1}q^1 +.....+^nC_np^0q^n[/tex]

Where [tex]^nC_r = \frac{n!}{(n-r)!r!}[/tex] and n = 7; i.e. total number of graduates

For none to get a job, means 0 graduate got a job;

So, we set r to 0 (r = 0)

The probability becomes

[tex]P(none) = ^nC_0p^nq^0[/tex]

Substitute 7 for n

[tex]P(none) = \frac{7!}{(7-0)!0!} * p^7 * q^0[/tex]

[tex]P(none) = \frac{7!}{7!0!} * p^7 * q^0[/tex]

[tex]P(none) = \frac{7!}{7! * 1} * p^7 * q^0[/tex]

[tex]P(none) = 1 * p^7 * q^0[/tex]

Substitute [tex]p = 0.55[/tex] and [tex]q = 0.45[/tex]

[tex]P(none) = 1 * 0.55^7 * 0,45^0[/tex]

[tex]P(none) = 0.01522435234[/tex]

Recall that

[tex]P(none) + P(At\ least\ 1) = 1[/tex]

Substitute [tex]P(none) = 0.01522435234[/tex]

[tex]0.01522435234+ P(At\ least\ 1) = 1[/tex]

Make P(At least 1) the subject of formula

[tex]P(At\ least\ 1) = 1 - 0.01522435234[/tex]

[tex]P(At\ least\ 1) = 0.98477564766[/tex]

[tex]P(At\ least\ 1) = 0.985[/tex] (Approximated)

Answer:

40

Step-by-step explanation:

if you add all the numbers up it becomes 96 and 96 goes Into. 480 5 times so you multiply 5 times the number of giant swallow tails

Answer:

If they are proportional we can expect 40

lol iready

Answer:170

Step-by-step explanation:

The measure of angle LNP is 275 degrees.

The inscribed angle theorem says that an inscribed angle is half the intercepted arc measure.

In the circle below, O is the center, MP is the diameter, and mangle POL = 85º.

The measure of angle  LNP is determined in the following steps given below.

[tex]\rm \angle LNP=360-\angle POL\\\\ \angle LNP=360-85\\\\ \angle LNP=275[/tex]

Hence, the measure of angle LNP is 275 degrees.

Learn more about the inscribed angle theorem here;

https://brainly.com/question/21506400

#SPJ2

Answer:

True all for v

Step-by-step explanation:

All real numbers are solutions.